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Finding the Fourth Proportional to 2,196.50, 3,294.75 and 553.05

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Solution

The fourth proportional to 2,196.50, 3,294.75 and 553.05 is: 829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.50 : 3,294.75 = 553.05 : x
  2. Step 2: Convert to fraction form
    2,196.50/3,294.75 = 553.05/x
  3. Step 3: Cross multiply
    2,196.50x = 3,294.75 × 553.05
  4. Step 4: Simplify right side
    2,196.50x = 1,822,161.49
  5. Step 5: Solve for x
    x = 1,822,161.49/2,196.50
  6. Step 6: Final answer
    x = 829.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.